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Homework Help: Using frist order perturbation theory to the the energy change in the ground state

  1. Apr 29, 2010 #1
    A particle is in the ground state in a one-dimensional box given by the potential

    v(x)= 0 for 0<x<a
    v(x)= inifinity other wise

    A small perturbation V = V(0)x/a is now introduced. Show, correct to first order in perturbation theory, hat the energy change in the ground state is V(0)/2

    the normalised wavefuctions of v(x) are PHi(n)=(sqrt(2/a))sin(n(pi)x/a)

    i have looked up what i can on perturbation theory, and i can't get to doing this question,

    if anyone could give me a few pointers on what to do and where to start, that would be great.
    Last edited: Apr 29, 2010
  2. jcsd
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